Algebras of generalized functions through sequence spaces algebras. Functoriality and associations

Details Algebras of generalized functions through sequence spaces algebras. Functoriality and associations Algebras of generalized functions through sequence spaces algebras. Functoriality and associations

2002-10-16

arxiv.org/abs/math/0210249v1

Int. J. Math. Sci., vol. 1 (2002), pp. 13-31

Mathematics

Functional Analysis

Scientific paper

Starting from a description of various generalized function algebras based on
sequence spaces, we develop the general framework for considering linear
problems with singular coefficients or non linear problems. Therefore, we prove
functorial properties of those algebras and show how weak equalities, in the
sense of various associations, can be described in this setting.

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